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112120021102221 = 32112295296393377
BaseRepresentation
bin11001011111100011111010…
…000001111010111010001101
3112200222120101001021100101100
4121133203322001322322031
5104143433300400232341
61034243120541333313
732421255433536546
oct3137437201727215
9480876331240340
10112120021102221
11327a7919a49550
12106a9740267239
134a73b461cabc2
141d988d086b4cd
15ce67744633b6
hex65f8fa07ae8d

112120021102221 has 48 divisors (see below), whose sum is σ = 177450725424960. Its totient is φ = 67652794460160.

The previous prime is 112120021102183. The next prime is 112120021102241. The reversal of 112120021102221 is 122201120021211.

112120021102221 is a `hidden beast` number, since 1 + 121 + 200 + 21 + 102 + 221 = 666.

It is not a de Polignac number, because 112120021102221 - 26 = 112120021102157 is a prime.

It is a super-2 number, since 2×1121200211022212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112120021102194 and 112120021102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120021102241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200677485 + ... + 1200770861.

It is an arithmetic number, because the mean of its divisors is an integer number (3696890113020).

Almost surely, 2112120021102221 is an apocalyptic number.

112120021102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112120021102221 is a deficient number, since it is larger than the sum of its proper divisors (65330704322739).

112120021102221 is a wasteful number, since it uses less digits than its factorization.

112120021102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146586 (or 146583 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112120021102221 its reverse (122201120021211), we get a palindrome (234321141123432).

The spelling of 112120021102221 in words is "one hundred twelve trillion, one hundred twenty billion, twenty-one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 229 687 2061 2519 7557 22671 52963 93377 158889 280131 476667 582593 840393 1027147 1747779 3081441 5243337 9244323 12128527 21383333 36385581 64149999 109156743 133413797 192449997 235216663 400241391 705649989 1200724173 2116949967 4945526051 14836578153 44509734459 54400786561 163202359683 489607079049 1132525465679 3397576397037 10192729191111 12457780122469 37373340367407 112120021102221